The point P(5, 3) lies on the curve y =4x3 (a) If Q is the point(x,4x3) find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (I) 4.9 mPQ = (ii) 4.99 mPQ = (iii) 4.999 mPQ = (iv) 4.9999 mPQ = (v) 5.1 mPQ = (vi) 5.01 mPQ = (vii) 5.001 mPQ = (viii) 5.0001 mPQ = (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(5, 3). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(5, 3).